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Simplifying 4(x + 7) + 3(x + 28) = 14 Reorder the terms: 4(7 + x) + 3(x + 28) = 14 (7 * 4 + x * 4) + 3(x + 28) = 14 (28 + 4x) + 3(x + 28) = 14 Reorder the terms: 28 + 4x + 3(28 + x) = 14 28 + 4x + (28 * 3 + x * 3) = 14 28 + 4x + (84 + 3x) = 14 Reorder the terms: 28 + 84 + 4x + 3x = 14 Combine like terms: 28 + 84 = 112 112 + 4x + 3x = 14 Combine like terms: 4x + 3x = 7x 112 + 7x = 14 Solving 112 + 7x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-112' to each side of the equation. 112 + -112 + 7x = 14 + -112 Combine like terms: 112 + -112 = 0 0 + 7x = 14 + -112 7x = 14 + -112 Combine like terms: 14 + -112 = -98 7x = -98 Divide each side by '7'. x = -14 Simplifying x = -14
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